Answer
$\color{blue}{2w^2z^2\sqrt{6z}}$
Work Step by Step
Factor the radicand so that at least one factor is a perfect square:
$=\sqrt{(4w^4z^4)(6z)}
\\=\sqrt{(2w^2z^2)^2(6z)}$
Bring out the square root of the perfect square factor to obtain:
$=\color{blue}{2w^2z^2\sqrt{6z}}$